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Finding the Third Proportional to 815,312,856 and 1,246,681,558

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Solution

The third proportional to 815,312,856 and 1,246,681,558 is: 1,906,280,387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,312,856 : 1,246,681,558 = 1,246,681,558 : x
  2. Step 2: Convert to fraction form
    815,312,856/1,246,681,558 = 1,246,681,558/x
  3. Step 3: Cross multiply
    815,312,856x = 1,246,681,558 × 1,246,681,558
  4. Step 4: Simplify right side
    815,312,856x = 1,554,214,907,057,307,392
  5. Step 5: Solve for x
    x = 1,554,214,907,057,307,392/815,312,856
  6. Step 6: Final answer
    x = 1,906,280,387.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.